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Finding the Fourth Proportional to 2,034.12, 2,810.04 and 1,617.24

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Solution

The fourth proportional to 2,034.12, 2,810.04 and 1,617.24 is: 2,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.12 : 2,810.04 = 1,617.24 : x
  2. Step 2: Convert to fraction form
    2,034.12/2,810.04 = 1,617.24/x
  3. Step 3: Cross multiply
    2,034.12x = 2,810.04 × 1,617.24
  4. Step 4: Simplify right side
    2,034.12x = 4,544,509.09
  5. Step 5: Solve for x
    x = 4,544,509.09/2,034.12
  6. Step 6: Final answer
    x = 2,234.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.